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Lattice Boltzmann equation: Failure or success? [PDF]
Physica A: Statistical Mechanics and its Applications, 1997 The lattice Boltzmann equation (LBE) is a microscopically-inspired method designed to solve macroscopic fluid dynamics problems. As a such, it lives at the interface between the microscopic (molecular) and macroscopic (continuum) worlds, hopefully capturing the best of the two.
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MathematicsThe generalized Zakharov equation is a widely used and crucial model in plasma physics, which helps to understand wave particle interactions and nonlinear wave propagation in plasma.
Huimin Wang +3 more
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Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channel
AIP Advances, 2023 In recent years, the lattice Boltzmann equation has developed into a promising technique for computational fluid dynamics (CFD). The lattice Boltzmann model (LBM) approach is derived from the Boltzmann equation and kinetic theory, as opposed to the ...
Riffat Habib +4 more
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Lattice Boltzmann equation for quantum mechanics
Physica D: Nonlinear Phenomena, 1993 IBM text-proc ...
Succi, S., Benzi, R.
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Advances in Mechanical Engineering, 2015 Lattice Boltzmann method combined with large eddy simulation is developed in the article to simulate fluid flow at high Reynolds numbers. A subgrid model is used as a large eddy simulation model in the numerical simulation for high Reynolds flow.
Haiqing Si, Yan Shi
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Lattice Boltzmann model of percutaneous drug absorption
Theoretical and Applied Mechanics Letters, 2019 A lattice Boltzmann numerical modeling method was developed to predict skin concentration after topical application of a drug on the skin. The method is based on D2Q9 lattice spaces associated with the Bhatnagar-Gross-Krook (BGK) collision term to solve ...
Arman Safdari, Kyung Chun Kim
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A lattice Boltzmann model for Maxwell’s equations
Applied Mathematical Modelling, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Yanhong, Yan, Guangwu
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On equations of state in a lattice Boltzmann method
Computers & Mathematics with Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander L. Kupershtokh +2 more
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A Simplified Linearized Lattice Boltzmann Method for Acoustic Propagation Simulation
Entropy, 2022 A simplified linearized lattice Boltzmann method (SLLBM) suitable for the simulation of acoustic waves propagation in fluids was proposed herein. Through Chapman–Enskog expansion analysis, the linearized lattice Boltzmann equation (LLBE) was first ...
Qiaochu Song +5 more
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Limit consistency of lattice Boltzmann equations
ESAIM: Mathematical Modelling and Numerical AnalysisWe establish the notion of limit consistency as a modular part in proving the consistency of lattice Boltzmann equations (LBEs) with respect to a given partial differential equation (PDE) system. The incompressible Navier–Stokes equations (NSE) are used as a paragon.
Stephan Simonis, Mathias J. Krause
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